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Finding the Fourth Proportional to 1,594.92, 2,397.24 and 1,560.92

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Solution

The fourth proportional to 1,594.92, 2,397.24 and 1,560.92 is: 2,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.92 : 2,397.24 = 1,560.92 : x
  2. Step 2: Convert to fraction form
    1,594.92/2,397.24 = 1,560.92/x
  3. Step 3: Cross multiply
    1,594.92x = 2,397.24 × 1,560.92
  4. Step 4: Simplify right side
    1,594.92x = 3,741,899.86
  5. Step 5: Solve for x
    x = 3,741,899.86/1,594.92
  6. Step 6: Final answer
    x = 2,346.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.